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Finding the Fourth Proportional to 950.36, 1,427.15 and 829.67

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Solution

The fourth proportional to 950.36, 1,427.15 and 829.67 is: 1,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.36 : 1,427.15 = 829.67 : x
  2. Step 2: Convert to fraction form
    950.36/1,427.15 = 829.67/x
  3. Step 3: Cross multiply
    950.36x = 1,427.15 × 829.67
  4. Step 4: Simplify right side
    950.36x = 1,184,058.48
  5. Step 5: Solve for x
    x = 1,184,058.48/950.36
  6. Step 6: Final answer
    x = 1,245.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.